Pythagorean Theorem

Front

What is the Pythagorean Theorem?

Back

The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b). It can be expressed as: c² = a² + b².

Front

What is the longest side of a right triangle called?

Back

The longest side of a right triangle is called the hypotenuse.

Front

In the Pythagorean Theorem, what do the letters a, b, and c represent?

Back

In the Pythagorean Theorem, 'a' and 'b' represent the lengths of the legs of the triangle, while 'c' represents the length of the hypotenuse.

Front

True or False: The hypotenuse is always the longest side in a right triangle.

Back

True.

Front

What are the legs of a right triangle?

Back

The legs of a right triangle are the two sides that form the right angle.

Front

If one leg of a right triangle is 3 cm and the other leg is 4 cm, what is the length of the hypotenuse?

Back

Using the Pythagorean Theorem: c² = 3² + 4² = 9 + 16 = 25, so c = √25 = 5 cm.

Front

How do you find the length of a missing side in a right triangle?

Back

To find the length of a missing side in a right triangle, use the Pythagorean Theorem: c² = a² + b², and solve for the missing side.

Front

What is the relationship between the sides of a right triangle?

Back

In a right triangle, the sum of the squares of the lengths of the two legs (a and b) equals the square of the length of the hypotenuse (c).

Front

If the hypotenuse of a right triangle is 10 cm and one leg is 6 cm, how do you find the other leg?

Back

Use the Pythagorean Theorem: c² = a² + b². Here, 10² = 6² + b², so 100 = 36 + b², thus b² = 64, and b = √64 = 8 cm.

Front

What is the formula for calculating the area of a right triangle?

Back

The area of a right triangle can be calculated using the formula: Area = (1/2) * base * height, where the base and height are the lengths of the two legs.